Question
Y=1/2√×
Using differentiation to solve
Using differentiation to solve
Answers
GPT 3.5
To differentiate y = 1/2√x, we can rewrite it as y = (1/2)(x^(-1/2)).
Now, we can use the power rule of differentiation:
dy/dx = (1/2)(-1/2)(x^(-1/2 - 1))
dy/dx = -1/4x^(-3/2)
dy/dx = -1/(4x√x)
So, the derivative of y = 1/2√x with respect to x is -1/(4x√x).
Now, we can use the power rule of differentiation:
dy/dx = (1/2)(-1/2)(x^(-1/2 - 1))
dy/dx = -1/4x^(-3/2)
dy/dx = -1/(4x√x)
So, the derivative of y = 1/2√x with respect to x is -1/(4x√x).